CAT 2017 Slot 1 — DILR Question 14
Answer the following question based on the information given below.
Simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C). Each of these three parameters is measured on a scale of 0 to 8 (integers only). A country is then categorized based on the total score obtained by summing the scores of all the three parameters, as shown in the following table:
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Following diagram depicts the frequency distribution of the scores in S, F and C of 10 countries – Amda, Benga, Calla, Delma, Eppa, Varsa, Wanna, Xanda, Yanga and Zooma:
Further, the following are known:
- Amda and Calla jointly have the lowest total score, 7, with identical scores in all the three parameters.
- Zooma has a total score of 17.
- All the 3 countries, which are categorized as happy, have the highest score in exactly one parameter.
What is Zooma’s score in S?
Answer & solution
Answer: 6
Let us tabulate the information given in the bar graph depicting the number of countries against the happiness index score for each attribute.
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There are 2 possibilities for Amda and Calla’s scores. Since each of them has identical scores for each of the 3 attributes, we need a pair of identical scores for each of the 3 attributes.
Zooma has a total score of 17 and is hence in the category of Happy. Now each of the 3 countries in the category of Happy has the highest score for exactly one parameter.
There are 2 ways for Zooma to get a score of 17. Either Zooma gets scores of 6, 6 and 5 in attiributes C, S and F respectively or gets scores of 7 in F, 6 in S and 4 in C.
In either case, Zooma gets a score of 6 in S.
Answer: 6